Answer:
OPTION C: (x - 5)(x + 6)
Step-by-step explanation:
Given: (x - 3)(x + 4) - 18
Product of (x - 3) and (x + 4) = x² + 4x - 3x - 12
Therefore, (x - 3)(x + 4) - 18 = x² + x - 30
This is a quadratic equation and the roots are x = 5, -6.
This can be written as binomials as:
(x - 5)(x + 6) which is the required answer.
So, OPTION C is the answer.
Answer:
5: c=65 d=125 e=60
6: c= 58 d= 121 e=63
7. a=55 b=64 c=61
8. a=61 b=55 c=64
Step-by-step explanation: :)
Answer:
you are right it is option a
Step-by-step explanation:
cause
You have the correct approximate value of k. The part after that is where things get a bit strange.
You don't plug in t = 5 again. We don't know the value of t yet. We're trying to solve for it.
We do know u(t) is 135 as we want the temperature to be 135 degrees. Plug this in and isolate t.
So
u(t) = 70+380e^(-0.1004183888t)
135 = 70+380e^(-0.1004183888t)
135-70 = 380e^(-0.1004183888t)
65 = 380e^(-0.1004183888t)
380e^(-0.1004183888t) = 65
e^(-0.1004183888t) = 65/380
e^(-0.1004183888t) = 13/76
-0.1004183888t = ln(13/76)
-0.1004183888t = -1.7657839828248
t = -1.7657839828248/(-0.1004183888)
t = 17.5842692152893
So it takes about 17.58 minutes for the item to cool to the desired temp
